Denise at Let's Play Math has a nice post "Be My (Math) Valentine." Yes, by the time you read this it will be too late but you can start preparing for next year. Here's a YouTube video on how to make Mobius strip valentines. Denise has other ideas in her article.

Mathematicians are creating their own version of the periodic table that will provide a vast directory of all the possible shapes in the universe across three, four and five dimensions, linking shapes together in the same way as the periodic table links groups of chemical elements. The three-year project, announced today, should provide a resource that mathematicians, physicists and other scientists can use for calculations and research in a range of areas, including computer vision, number theory, and theoretical physics. For some mental exercise, check out these animations that have already been analyzed in the project.

Year-end test scores of Massachusetts middle school students whose teachers used ASSISTments, a Web-based tutoring platform developed at Worcester Polytechnic Institute (WPI), as a central part of their mathematics instruction were significantly better than those of students whose teachers did not use the platform, according to a recent study published in the Journal of Educational Computing Research.

James Tanton has a video with a cute approach to memorizing sin and cos for 0, 30, 45, 60 and 90 degrees using five fingers!

The computers capable of accurately doing this simulation haven’t been invented (yet). So we’ve fallen back on some reasonable approximations, like massless light bulbs and spherical physicists.

So far, it looks like physicists can’t pick up light bulbs, but two physicists can break a bulb between them.

This is probably an NP problem or something, which means that the only remaining option is empirical research. So, once the NSF frees up the funding for us to hire a team of experimental physicists (to experiment on), build a lab, and buy a light bulb, we’ll have something to publish in a year or two.